R-K FORMULAS APPLIED TO VOLTERRA-EQUATIONS WITH DELAY

被引：10

作者：

BAKER, CTH ^{[1
]}

DERAKHSHAN, MS ^{[1
]}

机构：

[1] VICTORIA UNIV MANCHESTER,DEPT MATH,MANCHESTER M13 9PL,ENGLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 29卷 / 03期

关键词：

convergence; delay equations; Runge-Kutta; stability; Volterra equations;

D O I：

10.1016/0377-0427(90)90013-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider convergence and stability of a class of Runge-Kutta formulae, applied to a class of Volterra integral equations with fixed delay. Although derived from standard Runge-Kutta tableau, the formulae differ from those applied to classical Volterra integral equations. Consideration of the formulae is prompted by the search for highly stable formulae which have acceptable orders of convergence. The theory and numerical results presented establish the existence of acceptable Runge-Kutta formulae. © 1990.

引用

页码：293 / 310

页数：18

共 13 条

[1]

ARNDT H, 1988, NUMERICAL TREATMENT, P19

[2] STABILITY ANALYSIS OF RUNGE-KUTTA METHODS APPLIED TO A BASIC VOLTERRA INTEGRAL-EQUATION [J].

BAKER, CTH ;

WILKINSON, JC .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1981, 22 :515-538

[3]

BAKER CTH, 1988, 153 U MANCH NUM AN T

[4]

BAKER CTH, 1988, 156 U MANCH NUM AN T

[5]

BAKER CTH, 1989, 168 U MANCH NUM AN T

[6]

BARWELL VK, 1974, UTILITAS MATHEMATICA, V6, P189

[7] EPIDEMIC EQUATION WITH IMMIGRATION [J].

COOKE, KL .

MATHEMATICAL BIOSCIENCES, 1976, 29 (1-2) :135-158

[8]

ELSGOLTS LE, 1973, INTRO THEORY APPLICA

[9]

Lambert J.D, 1973, COMPUTATIONAL METHOD

[10]

PALEY REA, 1934, AM MATH SOC COLL PUB

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